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A, B, C, D are four points on a circle. AC and BD intersect at a point E such that ∠BEC = 130° and ∠ECD = 20°. ∠BAC is   (SSC CGL 1st Sit. 2013)
  • a)
    100°
  • b)
    110°
  • c)
    120°
  • d)
    90°
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A, B, C, D are four points on a circle. AC and BD intersect at a point...

∴ ∠BEC = 130°
∴ ∠DEC = 180° – 130° = 50°
∴ ∠EDC = 180° – 50° – 20° = 110°
∴ ∠BAC = ∠EDC = 110°
(Angles on the same arc)
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Most Upvoted Answer
A, B, C, D are four points on a circle. AC and BD intersect at a point...

∴ ∠BEC = 130°
∴ ∠DEC = 180° – 130° = 50°
∴ ∠EDC = 180° – 50° – 20° = 110°
∴ ∠BAC = ∠EDC = 110°
(Angles on the same arc)
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